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These facts are mentioned on the Basic Probability page and the Breif Summary of the Binomial Distribution page The lowest possible probability an outcome might have is 0 P(x=7)=0, the probability of getting 7 heads, when only 4 coins are flipped, is 0The normal distribution or Gaussian distribution is a continuous probability distribution that follows the function of where μ is the mean and σ 2 is the variance Note that standard deviation is typically denoted as σ Also, in the special case where μ = 0 and σ = 1, the distribution is referred to as a standard normal distributionIn order to do this, we define a function P, such that P(X = x) is the probability of the variable X having a value of x We could also ask for P(X < x), or P(X > x), for intervals instead of discrete values This will become even more relevant soon P is the variable's density function, and it characterizes that variable's distribution Excel Probability Distributions P(x=x) probability distribution f

The binomial theorem (or binomial expansion) is a result of expanding the powers of binomials or sums of two terms The coefficients of the terms in the expansion are the binomial coefficientsThis number is known as the binomial coefficient, because it is also the coefficient of x k in (1 x) n The term n k _ {\displaystyle n^{\underline {k}}} is often called a falling factorial (pronounced " n to the falling k ")1, if x ≥ b; Products K&n 66-1101 x-stream top filter